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Finding the Third Proportional to 16,141 and 34,723

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Solution

The third proportional to 16,141 and 34,723 is: 74,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141 : 34,723 = 34,723 : x
  2. Step 2: Convert to fraction form
    16,141/34,723 = 34,723/x
  3. Step 3: Cross multiply
    16,141x = 34,723 × 34,723
  4. Step 4: Simplify right side
    16,141x = 1,205,686,729
  5. Step 5: Solve for x
    x = 1,205,686,729/16,141
  6. Step 6: Final answer
    x = 74,697.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.